I have always been fascinated by the concept, mathematics and physics of time travel. I would love to believe we can do it. However, I hit on a show stopper.
Antimatter particles are the same (mathematically) as particles traveling backwards in time. Therefore, if we were to travel back in time, our particles would become antiparticles. The "anti us" would undoubtedly meet up with regular particles and we all know what would happen -- blam!